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Large-scale shell-model calculations have been performed for the study of twoneutrino double-beta ($2\nu\beta\beta$) decay in $^{82}$Se, $^{94}$Zr,$^{108}$Cd, $^{124}$Sn, $^{128}$Te, $^{130}$Te, $^{136}$Xe, and $^{150}$Nd. Wehave employed JUN45 interaction to calculate the nuclear matrix element (NME)for $2\nu\beta\beta$ decay in $^{82}$Se. In the case of $^{94}$Zr, the glekpneffective interaction is used. For $^{108}$Cd, we have used a realisticeffective interaction derived through the G-matrix approach. In the case of$^{124}$Sn, $^{128,130}$Te and $^{136}$Xe, the sn100pn effective interaction isemployed. For $^{150}$Nd, we have used KHHE effective interaction based onholes in a $^{208}$Pb core. We have extracted the half-lives of these nucleifor the $2\nu\beta\beta$ decay with the help of calculated NME. Our results areconsistent with the available experimental half-lives. The variation ofcumulative $2\nu\beta\beta$ NME with respect to the excitation energy of theintermediate $1^+$ states is also shown, and in all cases, it is ensured thattheir values are almost saturated. In the present work we have calculated moreintermediate $1^+$ states as much as possible in comparison to resultsavailable in the literature.

nuclear physics. a

Large-scale shell-model study of two-neutrino double-beta decay of  $^{82}$Se, $^{94}$Zr, $^{108}$Cd, $^{124}$Sn, $^{128}$Te, $^{130}$Te,  $^{136}$Xe, and $^{150}$Nd